Two New Families in the Stable Homotopy Groups of Sphere and Moore Spectrum

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This paper proves the existence of an order p element in the stable homotopy group of sphere spectrum of degree pnq + pmq + q - 4 and a nontrivial element in the stable homotopy group of Moore spectum of degree pnq + pmq + q - 3 which are represented by ho(hmbn-1 -hnbm-1) and i* (ho hnhm) in the E2-terms of the Adams spectral sequence respectively, where p≥ 7 is a prime, n≥m + 2≥4, q = 2(p - 1).
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